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Beliebt Algebra >

6x^3-5x-1=0

Lösung

6 x^{3} - 5 x - 1 = 0

Lösung

x = 1, x = \frac{- 3 + 3}{6}, x = - \frac{3 + 1}{2 3}

+1

Dezimale

x = 1, x = - 0.21132 \dots, x = - 0.78867 \dots

Schritte zur Lösung

6 x^{3} - 5 x - 1 = 0

Faktorisiere

6 x^{3} - 5 x - 1 : (x - 1) (6 x^{2} + 6 x + 1)

(x - 1) (6 x^{2} + 6 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 6 x^{2} + 6 x + 1 = 0

Löse

x - 1 = 0 : x = 1

Löse

6 x^{2} + 6 x + 1 = 0 : x = \frac{- 3 + 3}{6}, x = - \frac{3 + 1}{2 3}

Die Lösungen sind

x = 1, x = \frac{- 3 + 3}{6}, x = - \frac{3 + 1}{2 3}

Graph

Beliebte Beispiele

x^4-5x^3+6x^2+4x-8=0

x^{4} - 5 x^{3} + 6 x^{2} + 4 x - 8 = 0

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